Britain's Press Association says Ray Hatton, 61, was arrested by police on suspicion of common assault of his son and given a caution.
The incident occurred outside a gym in Manchester on Thursday, the day before the younger Hatton announced he was coming out of retirement, more than three years after his last fight.
Police say the 33-year-old Hatton wasn't injured in the incident with his father.
Hatton won world titles in the welterweight and light-welterweight divisions and has a 45-2 record.